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Eduardwww [97]
3 years ago
6

Select all angle measures for which sin(∅) = - ( (√2) /2)

Mathematics
1 answer:
Alexandra [31]3 years ago
8 0

Answer:

b) 5π/4

c) 7π/4

e) 13π/4

Step-by-step explanation:

sin θ = -½√2

There's really no algebra to be done here.  There are two ways you can solve.  One, you can use a calculator.  Two, you can memorize your unit circle.

Either way, it helps to draw the unit circle.  sin θ is the y coordinate, so you're looking for points on the circle where y = -½√2.  This happens at two places: θ = 5π/4 and 7π/4.

Next, we need to check the options that are greater than 2π.

9π/4 is the same as π/4.

13π/4 is the same as 5π/4.

So the three correct answers are 5π/4, 7π/4, and 13π/4.

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What is 5% of $30?<br>$150<br>$35<br>$1.50<br>$25​
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$1.50

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Convert into polar form: <br> y = -x
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3 years ago
On a certain hot summer's day, 538 people used the public swimming pool. The daily prices are $1.75 for children and $2.25 for a
Artist 52 [7]

Answer:

The number of children was 170 and adults was 368.

Step-by-step explanation:

To clarify we'll call children by 'c' and adults by 'a'. The amount of people in the pool should be the sum of adults and children, so:

a + c = 538

The receipts for the adimission should total the amount of tickets from children and adults multiplied by the price of each ticket, so:

1.75*c + 2.25*a = 1125.5

We now have two equations and two variables. Using the first equation we can isolate the 'a' variable and use it on the second equation to find an answer. We then have:

a + c = 538

a = 538 - c

Using it on the second equation:

1.75*c + 2.25*(538-c) = 1125.5

1.75*c + 1210.5 - 2.25*c = 1125.5

1.75*c - 2.25*c = 1125.5 - 1210.5

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Using this value on the first equation:

a = 538 - 170 = 368

7 0
3 years ago
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